Introduction
Percentage is one of the most common concepts in everyday math — whether you’re figuring out exam scores, discounts while shopping, profit margins, or portions of a whole. But if you’re not sure how percentages work, they can seem confusing at first.
In this guide, we’ll break down what percentage means, show step-by-step examples, and give you simple formulas to calculate it on your own plus a quick link to an easy online tool you can use.
Try our online percentage calculator here: Online Percentage Calculator

What Is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is %.
- 50% means 50 out of 100
- 20% means 20 out of 100
- 100% means 100 out of 100 (the whole thing)
Percentages are useful because they let us compare numbers easily — no matter the total.
Percentage Formula (Easy!)
To calculate a percentage, you use one simple formula: Percentage = (Part ÷ Whole) × 100
Where:
- Part = the portion of the total you’re interested in
- Whole = the total or maximum possible amount
1: Percentage of a Number
- Question: You scored 45 marks out of a total of 60. What percentage did you get?
- Solution: Part = 45, Whole = 60
- Percentage = (45 ÷ 60) × 100
- Percentage = 0.75 × 100
- Percentage = 75%
- So you scored 75% in the test!
2: Finding the Part from a Percentage
- Question: What is 30% of 200?
- Solution:
- Part = (Percentage ÷ 100) × Whole
- Part = (30 ÷ 100) × 200
- Part = 0.3 × 200
- Part = 60
- So 30% of 200 is 60.
3: Increase or Decrease by a Percentage
Percentages are often used for things like discounts or price increases.
Percentage Increase
- Question: A shirt costs ₹800. The price increases by 15%. What’s the new price?
- Solution:
- Increase = (15 ÷ 100) × 800
- Increase = 0.15 × 800
- Increase = ₹120
- New Price = 800 + 120 = ₹920
- So the shirt now costs ₹920.
Percentage Decrease
- Question: A phone is ₹15,000 but has a 10% discount. What price do you pay?
- Solution:
- Discount = (10 ÷ 100) × 15000
- Discount = 0.1 × 15000
- Discount = ₹1500
- Final Price = 15000 − 1500 = ₹13,500
- You save ₹1500 and pay ₹13,500.
Why Percentages Matter
Percentages are everywhere:
- Exam scores (you often see marks expressed in %)
- Shopping discounts
- Bank interest rates
- Profit and loss
- Data comparisons
Understanding percentages makes everyday decisions easier and more precise.
Practice with Tools
Calculating percentages by hand is useful — but sometimes you want a quick result. Use our handy calculator to avoid mistakes and save time: Online Percentage Calculator
If you want more calculators for school, work, or everyday life, check out our full collection:
Tips for Students
- Practice using both manual formulas and online tools
- Start with simple examples before moving to word problems
- Use percentage calculators when accuracy matters (like exam grading)
Common Mistakes to Avoid
- Forgetting to convert percentages into decimals
- Mixing up the “part” and “whole” values
- Using the wrong formula for increase vs decrease
Remember:
Always convert the percentage to decimal form (divide by 100) if you’re working step by step.
Summary
| Topic | Quick Formula |
| Find percentage | (Part ÷ Whole) × 100 |
| Find part from percentage | (Percentage ÷ 100) × Whole |
| Increase by % | Original + (Original × %) |
| Decrease by % | Original − (Original × %) |
Calculating percentages becomes second nature once you understand the formula and practice a few examples!
FAQ’S
To calculate percentage easily, divide the obtained value by the total value and multiply by 100.
The percentage formula is: (Part ÷ Whole) × 100
Divide the marks obtained by total marks and multiply by 100.
Yes, you can use this free tool: Online Percentage Calculator
Conclusion
Now that you understand how to calculate percentage, you can confidently apply it to exams, shopping, finance, and daily tasks. Practice a few examples and use online calculators whenever needed.
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